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Finding the Third Proportional to 198.94 and 426.47

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Solution

The third proportional to 198.94 and 426.47 is: 914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 426.47 = 426.47 : x
  2. Step 2: Convert to fraction form
    198.94/426.47 = 426.47/x
  3. Step 3: Cross multiply
    198.94x = 426.47 × 426.47
  4. Step 4: Simplify right side
    198.94x = 181,875.59
  5. Step 5: Solve for x
    x = 181,875.59/198.94
  6. Step 6: Final answer
    x = 914.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.